Final answer:
Jackson Industries should select Option 3, replacing their machine with a new model, as it provides the lowest total cost over five years, considering reduced operating costs, increased production revenue, and salvage value.
Step-by-step explanation:
Jackson Industries must evaluate the total costs associated with each of the three options for handling their critical production machine over the relevant period of five years. To determine the most cost-effective approach, we must calculate and compare the total costs for upgrading and repairing the machine, maintaining it as is, or replacing it with a new model.
Option 1: Upgrading and Repairing
Initial upgrade cost: $200,000
Reduced annual operating costs: $97,500 - 8.5% = $89,212.50
Total cost over 5 years: $200,000 + (5 * $89,212.50) = $646,062.50
Option 2: Maintain As Is
Increased annual operating costs: $97,500 + $15,000 = $112,500
Total cost over 5 years: 5 * $112,500 = $562,500
Option 3: Replace with New Model
Initial cost of new machine: $1,375,000
Sale of old machine: 12% of $980,000 = $117,600
Net initial cost: $1,375,000 - $117,600 = $1,257,400
Reduced annual operating costs: $90,000
Increase in production value: 90,000 units * $25/unit * 10% = $225,000 annually
Salvage value of new machine after 5 years: $150,000
Total cost over 5 years: $1,257,400 + (5 * $90,000) - (5 * $225,000) + $150,000 = $1,257,400 + $450,000 - $1,125,000 + $150,000 = $732,400
Jackson Industries should choose Option 3. Despite the higher initial cost, the new machine offers reduced operating costs, an increase in production and revenue, and a salvage value recouped at the end of five years that makes it the most economically favorable over the given timeline. The analysis does not include discount rates or the time value of money, but it indicates the pure cost standpoint within the next five years.